3 years ago

When does it reach maximum height? H(t)=-16t^2+112t+288

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

484 feet maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.

Let us find the vertex.

vertex x-coordinate = -b/2a

x = -b/2a = -(112)/ (2*-16) = 7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288

H(7/2) = -196 + 392 + 288 = 484 feet ..

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